The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2 12  2  0  2 12  2  0  2 12  2  0  2 12  1  1  2  2  2  1  1  2  2  2  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  8  8  8  8  4  4  4  4  1  2  2  2  2  1  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  6  2 10  2  0 12  0 12  0  8 12  0  4 12 12 12 12  4  4  8  8 14  2 14  2 14  2 14  2  8  0  4  8  4  0  8  4  2  2  2  2  2  2  2  2  0  0 12  4  8  8  4
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  0  0  8  8  0  0  8  0  0  0  0  8  8
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  8  8  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0  0  0  0  0  0  0  0

generates a code of length 96 over Z16 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+506x^96+4x^112+1x^128

The gray image is a code over GF(2) with n=768, k=9 and d=384.
This code was found by Heurico 1.16 in 0.96 seconds.